If a number is raised to a power of 2, it is
(a) cubed
(b) powered
(c) squared
When a number is raised to the power of 2, it is squared. This means the number is multiplied by itself once.
Explanation:When a number is raised to the power of 2, it is squared. Squaring a number means multiplying it by itself. For example, if you have the number 4 and you square it (raise it to the power of 2), you would multiply 4 by 4, which equals 16. Therefore, 4 squared (or 4 to the power of 2) equals 16.
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[tex]12(m + 3x) = 18(x - 3m)[/tex]
To solve the equation 12(m + 3x) = 18(x - 3m), we can start by distributing the coefficients and collecting like terms. Finally, m = -3x/11.
Explanation:The given equation is 12(m + 3x) = 18(x - 3m).
To solve this equation, we need to distribute the 12 and 18 coefficients to the terms inside the parentheses. This gives us 12m + 36x = 18x - 54m. Next, we collect like terms on each side of the equation. Combining the 'm' terms, we get 12m + 54m = 18x - 36x. Simplifying both sides further, we have 66m = -18x.To isolate 'm', we divide both sides of the equation by 66, resulting in m = -18x/66. This can be simplified to m = -3x/11.Therefore, the solution to the equation is m = -3x/11.
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How many weeks of flea treatment would Jim’s dog get from one package if each treatment only lasted 3 weeks In a normal year when a flea treatment last 4 weeks how many more weeks of treatment would Jim’s dog get from one package. Each flea treatment usually last for about 4 weeks but one year the fleas were especially bad Jim’s dog needed to be treated for fleas every 3 weeks until the weather cooled off
Solution
Number of weeks in a year = 52 weeks
If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for
[tex]\frac{52}{4} =13 times[/tex]
Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.
Then in a year Jim's dog would get
[tex]\frac{52}{3} =17 times[/tex]
So Jim's dog will get 17- 13 =4 treatments more.
4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment
The Number treatments is the ratio of the number of weeks in a year and the number weeks per treatment. Hence, Jim's dog would get 4 more treatments due to the bad weather.
Number of weeks in a year = 52
Period of flea treatment due to weather = 3 weeks Normal duration of flea treatment = 4 weeksThe number of flea treatment he'll get in a year can be calculated thus :
Normal weather = 52 / 3 = 17. 333 = 17 treatments
Bad weather = 52 / 4 = 13 treatments
Difference in treatment = 17 - 13 = 4
Therefore, as a result of the bad weather, Jim's dog would get 4 more treatments than during normal weather.
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Please help me find 2,4,6,8, and 10
It appears as though you're to figure out the quotient some way (as by using a calculator), then verify that the product of quotient and divisor gives the dividend.
2. 96 ÷ 6 = 16
... (6×10) + (6×6) = 96
... 6 × 16 = 96
4. 84 ÷ 6 = 14
... (6×10) + (6×4) = 84
... 6 × 14 = 84
6. 104 ÷ 4 = 26
... (4×20) + (4×6) = 104
... 4 × 26 = 104
8. 102 ÷ 6 = 17
... (6×10) + (6×7) = 102
... 6 × 17 = 102
10. 64 ÷ 4 = 16 . . . . Ken will make 16 gift bags, each containing 4 pens.
Please help me on this
a) Assuming the problem statement means the edge length of the cubical case is 3w, three times the width of the artifact, the volume of the case is ...
V = s³ . . . . . . volume of a cube with edge length s
V = (3w)³
b) The expression can be simplified by applying the rules of exponents, distributing the exponent to the contents of parentheses.
V = 3³w³
V = 27w³
You and a friend buy two fruit smoothies and leave a tip. You split the total and your half cokes to 3.60. What percent tip (in decimal form) did you and your friend leave if the fruit smoothies cost $3 each?
If you bought a $3 smoothie and your total (with tip) is $3.60, you have to divide 3.6/3. You get 1.2, which means you left a 20% tip, which would be .2 in decimal form.
To find the percent tip, divide the tip amount by the total cost and multiply by 100.
Explanation:To find the percent tip, we need to first calculate the total cost of the smoothies and the tip. Since the smoothies cost $3 each, the total cost of the smoothies is $3 * 2 = $6. Let's assume the tip amount is x dollars. The split total (including the tip) is $3.60, which is equal to half of the total cost plus the tip: $3 + $3 + x = $6 + x. Solving this equation, we can find the value of x:
$6 + x = $3.60 * 2$6 + x = $7.20x = $7.20 - $6 = $1.20The tip amount is $1.20. To find the percent tip in decimal form, we divide the tip amount by the total cost and multiply by 100: $1.20 / $6 * 100 = 20%. Therefore, you and your friend left a 20% tip.
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Meridith picked 4 times as many green peppers as red peppers how many green peppers did she pick.
your aunt's age a minus 25 in algebraic expression
Answer : The expression for the given statement is [tex]a-25[/tex]
Step-by-step explanation :
We are given a statement :
"your aunt's age a minus 25"
Let the age of aunt be considered as 'a'
From the given statement, we conclude that
'Minus' in the above statement means subtract (-) operation.
Thus, the expression for the given statement is [tex]a-25[/tex]
Please give me the answers or at least explain how I’m supposed to do it
when solving sales tax it's pretty simple because all you do is add everything for a subtotal and multiply your sub total by the tax so i'll use the first as an example your subtotal is 19.96 x0.05 to get 0.99 <-- your sales tax and your final total with tax to be 20.96
In a recent year , the world production of wheat was about 5.2x10^8 metric tons. Canada produced 1/25 of this wheat. About how much wheat did Canada produce?
A 20.8x10^8
B 2.08x10^7
C 2.08x10^6
D 20.8x10^7
HALPPPPP PLZZZZZ SHOW WORKKKKKKK
These are all division problems.
1) 9 ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{9}{1} * \frac{4}{3} = \frac{9(4)}{3}= 3(4) = 12[/tex]
3) [tex]3\frac{1}{2} = \frac{2(3) + 1}{2} = \frac{7}{2}[/tex]
7 ÷ [tex]\frac{7}{2}[/tex]
= [tex]\frac{7}{1} * \frac{2}{7} = \frac{7(2)}{2}= 7[/tex]
5) 6 ÷ [tex]\frac{1}{8}[/tex]
= [tex]\frac{6}{1} * \frac{8}{1} = 6(8) = 48[/tex]
A department store sold 34 shirts one day. All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $21.00 each. Total receipts for the day were $514.00. How many of each kind of shirt were sold?
The department store sold 20 short-sleeved shirts and 14 long-sleeved shirts. Calculations were made by setting up a system of equations and solving for the variables representing the number of shirts sold.
To solve how many short-sleeved and long-sleeved shirts were sold given the total sales and price per shirt, we can set up a system of equations. Let x represent the number of short-sleeved shirts and y represent the number of long-sleeved shirts. We have two equations: x + y = 34 (since a total of 34 shirts were sold) and 11x + 21y = 514 (representing the total sales from the shirts).
First, we can solve for x in terms of y from the first equation: x = 34 - y. Substituting this expression for x into the second equation gives us 11(34 - y) + 21y = 514. Simplifying this, we get 374 + 10y = 514, which simplifies down to y = 14.
Substituting y = 14 back into the original first equation x = 34 - y, we find that x = 34 - 14, so x = 20. Therefore, the store sold 20 short-sleeved shirts and 14 long-sleeved shirts.
what is the answer to 3(4g+6)=2(6g+9)
Answer:
Solution: All real numbers.
Step-by-step explanation:
[tex]3(4g+6)=2(6g+9)\qquad|\text{use distributive property}\\\\(3)(4g)+(3)(6)=(2)(6g)+(2)(9)\\\\12g+18=12g+18\qquad|\text{subtract 12g from both sides}\\\\18=18\qquad TRUE[/tex]
It's an identity equation.
Write three hundred thirty-five thousandths as a decimal number
The answer would be 0.335 because thousandths is the third decimal from zero
how do i write 3y-9x=24 in function notation
To write an expression in function notation, you must solve it for the dependent variable.
Assuming that you want the expression to be written in the form [tex] y = f(x) [/tex] (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.
So, first of all, we can add 9x to both sides to get
[tex] 3y = 9x+24 [/tex]
Finally, we divide both sides by 3:
[tex] y = 3x + 8 [/tex]
4 1/2 divide by 1 5/6
if i take a fourth of a number away from half the number, i get 10. what is the number?
I think the answer is 40.
Leticia earns $8 each time she rakes the yard. she has earned $24 so far. Write and solve an equation to show how many more times Leticia needs to take the yard to earn enough to buy a music player that costs $45. Show your work.
Leticia needs to take the 21/8 yards to earn enough to buy a music player that costs $45 and this can be determined by forming the linear equation.
Given :
Leticia earns $8 each time she rakes the yard.She has earned $24 so far.The following steps can be used to determine the equation that shows how many more times Leticia needs to take the yard to earn enough to buy a music player that costs $45:
Step 1 - Let the number of yards she takes after she earns $24 be 'x'.
Step 2 - The amount she needs to earn to buy a music player is:
= 8x
Step 3 - The linear equation according to the given data is given by:
24 + 8x = 45
Step 4 - Simplify the above equation.
8x = 21
[tex]\rm x = \dfrac{21}{8}[/tex]
Leticia needs to take the 21/8 yards to earn enough to buy a music player that costs $45.
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Four times the difference of a number and five is 24.
Translate the sentence into an equation.
4x19=76 tada there ya go pally!
Which equation represents the following graph?
A.) Y = 2/3 x + 2
B.) Y = 3/2 x + 2
C.) Y = 2/3 x – 2
D.) Y = -2/3 x + 2
Y intercept (0, 2) so b = 2
Slope = (2 - 0) / (0 + 3) = 2/3
Equation y = mx + b
In this case slope m = 2/3 and y intercept = b = 2
So equation y = 2/3 x + 2
Answer
A.) Y = 2/3 x + 2
can someone help me with this one math problem ? picture is below
They have 9 tents and 72 people. The same number of campers will be in each tent. How many campers will be in each tent
8 camper in each tent
Fill in the Blank, 1.) 2t+8>-4(t+1). t>_____
Hey there!!
Given equation :
... 2t + 8 > -4 ( t + 1 )
Using the distributive property :
... 2t + 8 > -4t - 4
Adding 4t on both sides :
... 6t + 8 > - 4
Subtracting 8 on both sides :
... 6t > - 12
Dividing by 6 on both sides :
... t > -2
Hence, the number in the blank is -2.
Hope my answer helps!!
8.0 ÷ 10 A) Sixty thousand
B) Six thousand
C) Six hundred
D) sixdy
47% as a fraction or a mixed number
if 1 is added to three times a number, the result is equal to 5 more than two times this number. find the number
The number is 4.
[tex]1 + 3*4 = 13\\2 * 4 + 5 = 13[/tex]
The problem is about solving a simple algebraic equation. The given condition can be put into an equation and solved step by step. The number that meets the condition is 4.
Explanation:The subject of this problem is algebra. We need to find a number that satisfies the given condition. If we define the unknown number as 'x', the given statement can be translated into the following algebraic equation: 1 + 3x = 2x + 5.
To find the number, we solve this equation step by step. First, we can rearrange the equation by subtracting 2x from both sides, which gives us: 1 + x = 5. Then, subtracting 1 from both sides, we have: x = 4.
So, the number that satisfies the given condition is 4.
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in each bouquet of flowers there are 4 roses
Marissa bought 12.8 pounds of potatoes at $1.35 a pound. How much did Marissa spend on the potatoes?
17.28 dollars is the answer
12.8 * 1.35 =17.28
Therefore Marissa spent $17.28 on potatoes.
use the fact that there are 2pi radians in each circle to find another angle, smaller than 2pi, that is equivalent to 17pi/6. Show steps please
we are given angle as
[tex]\theta=\frac{17\pi}{6}[/tex]
we can write it as
[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]
now, we can break it
[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]
On simplifying
[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]
we know all angles repeats itself after 2pi
so,
[tex]2\pi + \theta= \theta[/tex]
so, we get
[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer
Final answer:
To find an angle equivalent to 17pi/6 radians and smaller than 2pi, subtract multiples of 2pi. In this case, subtracting one full circle (2pi) from 17pi/6 yields an equivalent angle of 5pi/6 radians.
Explanation:
To find an angle equivalent to 17pi/6 radians that is smaller than 2pi radians, we can subtract multiples of 2pi until we get an angle that lies between 0 and 2pi. This is because angles that differ by full circles (multiples of 2pi) are equivalent in the circular system.
First, calculate how many full circles 17pi/6 radians contain:
17pi/6 ÷ 2pi = 17/12 ≈ 1.4167
Since 1.4167 is more than 1 but less than 2, we know that 17pi/6 radians contain one full circle plus some additional angle. To find this angle, subtract the full circle from 17pi/6.
17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6
Thus, 5pi/6 radians is equivalent to 17pi/6 radians but is less than 2pi and thus satisfies the conditions of the problem.
The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles upstream. If the stream is 4 miles per hour, which of the following is the speed of the boat in still water.
The speed of the boat in still water is 8 miles per hour.
Explanation:To find the speed of the boat in still water, we can use the formula:
Speed of the boat in still water = (speed downstream + speed upstream) / 2
Given that it takes the same amount of time for the boat to travel 36 miles downstream and 12 miles upstream, we can set up the following equation:
36 / (v + 4) = 12 / (v - 4)
Where v is the speed of the boat in still water. Cross multiplying and solving the equation, we get:
36(v - 4) = 12(v + 4)
36v - 144 = 12v + 48
24v = 192
v = 8
Therefore, the speed of the boat in still water is 8 miles per hour.
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